GameSpot has details on the cost of America's Army, saying the Unreal-engine first-person shooter created by the US Army as a recruiting aid has cost taxpayers 32.8 million dollars in the decade the project has been underway. GameSpot actually filed a Freedom of Information Act request to get this info, though some aspects of the request were denied because "disclosure of this information is likely to cause substantial harm to the Department of the Army's competitive position in the gaming industry." They also include a summary of the annual expenditures on the game:

$32m is still $32m tax dollars. But (as pointed out) the question is value for money - the effectiveness of those $'s at achieving valid objectives.

TBH it's bad form to disclose a refusal of a FOI request without also disclosing what they were refusing. It makes the statement serve no purpose other than to provoke speculation (i.e. encourage misinformation). Maybe they were refusing to disclose how much they paid off a senator, or maybe they were quite validly refusing to disclose the game engine licensing fee because it would harm their hand in negotiating with other firms.